JMHS Number Sequences & Series Recursive Formulas & Consecutive Integers Discussion

Hello, thanks in advance for the help.. The test have 20 questions I will upload some of the questions now and the rest in message.

Question 1 (5 points)
Find the sum of
*=1(-4k) :
A) -24
B) -36
a
C) -30
D) -40
Question 2 (5 points)
Identify the common difference of the
sequence: -8,-1, 6, 13,….
A) -7
B) 7
C) -6
OD) 6
Question 3 (5 points)
Given the recursive formula shown, what are
the first 4 terms of the sequence?
f(1) = 3
f(n)=
f(n)=f(n-1) + 4 if n> 1
A) 3, 8, 10, 12
B) 4, 7, 10, 13
C) 3, 9, 11, 13
D) 3, 7, 11, 15
Question 4 (5 points)
Identify the recursive formula for the
sequence 20, 28, 36, 44, ….
A) f(1) = 20
f(n)=
(f(n)= f(n-1) – 8 if n > 1
B) f(1) = 20
f(n)=
(f(n) = f(n-1) – 8 if n >
C) f(1) = 20
f(n) =
f(n) = f(n-1)+8 if n>1
D)
f(n) =
») = *)=2
f(1) = 20
f(n)=f(n-1) + 8 if n>
Question 5 (5 points)
What are the next 4 terms of the sequence 2,
4, 8, 16, …?
A) 32, 64, 128, 256
B) 24, 32, 40, 48
C) 8, 4, 2,0
D) 25, 36, 49, 64
Question 6 (5 points)
Identify the common ratio of the sequence:
400, 200, 100, 50, …
A) 42
B) 4
C) 2
D) 14
Question 7 (5 points)
The first two terms of an arithmetic sequence
are al
2 and a2 = 5. Find a6, the sixth term
of the sequence.
A) 20
B) 17
C) 14
D) 27
Question 8 (5 points)
Given the recursive formula shown, what are
the first 4 terms of the sequence?
f(1) = 5 if n=1
f(n)=
f(n) = 4f(n-1) if n > 1
A) 5, 14, 60, 236
B) 5, 25, 100, 400
C) 5, 25, 125, 625
D) 5, 20, 80, 320
Question 9 (5 points)
What’s the explicit rule for the sequence 3, –
6, 12, -24, 48, … ?
A)
an
=3(-2)n-1
B)
an
=3(2)n-1
C)
an =3(-2)”
D)
an
= 2(-3)n-1
Question 10 (5 points)
Which of the following is a geometric
sequence with a common ratio of 2?
A) 14, 16, 18, 20, …
B) 64, 32, 16, 8, …
C) 87, 85, 83, 81, …
D) 14, 28, 56, 112, …
Question 11 (5 points)
Which of the following is an infinite series?
A) 4 + 8 + 16 + 32
B) 3, 13, 23, 33, …
C) 2 – 6 + 18 – 54 + …
D) 3, -6, 12, -24, 48
Question 12 (5 points)
What’s the rule that represents the sequence
13, 27, 41, 55, …?
A)
an = 14 + 13 (n-1)
o
B) an = 13 – 14 (n-1)
O
C)
an = 13 + 14 (n-1)
D) an = 13 – 14 (n-1)
An arithmetic series consists of consecutive
integers that are multiples of 4. What’s the
sum of the first nine terms of this sequence if
the first term is 0?
A) 144
B) 160
C) 198
D) 162
Question 14 (5 points)
The first three terms of an arithmetic
sequence are 8, 9, 10, What’s the sum of the
first ten terms of the series?
A) 94
B) 125
C) 108
D) 143
Question 15 (5 points)
Identify the first 4 terms in the arithmetic
sequence given by the explicit formula fin) = 8
+3\n – 1).
A) 8, 11, 14, 17
B) 3, 11, 19, 27
C) 8, 5, 2, -1
D) 3, -5, -13, -21
Question 16 (5 points)
Write an exponential equation for the
geometric sequence 1, 10, 100, 1000, …
A)
an = 1(10)n-1
B)
an = 10(10)n-1
C)
an = 10(1)n-1
D)
an = 10(0.1)n-1
Question 17 (5 points)
What’s the sum of an infinite geometric series
if the first term is 156 and the common ratio
is 2/3?
A) 468
B) 208
C) 260
D) 234
Question 18 (5 points)
Which of the following is an arithmetic
sequence with a common difference of +3?
A) 17, 14, 11, 8, …
B) 1, 3, 9, 12, …
C) 4, 7, 10, 13, …
D) 12, 15, 19, 24, …
Question 19 (5 points)
Find the sum of LX-7(26 – 3).
A) 5
B) 4
C) 1
D) 3